LCM of 993, 415, 747, 133
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 415, 747, 133 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 993, 415, 747, 133. So, keep reading to learn more.
Given numbers are 993,415,747,133
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,415,747,133 is 164425905.
Find LCM of 993,415,747,133 with Prime Factorization
| 3 | 993, 415, 747, 133 |
| 83 | 331, 415, 249, 133 |
| 331, 5, 3, 133 |
Multiply the prime numbers at the bottom and the left side.
3 x 83 x 331 x 5 x 3 x 133 = 164425905
Therefore, the lowest common multiple of 993,415,747,133 is 164425905.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
993 x 415 x 747 x 133 = 40942050345
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
993 : 1, 3, 331, 993
415 : 1, 5, 83, 415
747 : 1, 3, 9, 83, 249, 747
133 : 1, 7, 19, 133
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,415,747,133, is 1.
Now, the common factors can be found like this.
993:3x 331
415:5x 83
747:3x 3x 83
133:7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 83 = 249
Therefore, the value for common factors is 249.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 40942050345/(1x249)
LCM = 40942050345/249
LCM = 164425905
Thus, we can understand that the LCM of 993,415,747,133 is 164425905.
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FAQs on LCM of 993, 415, 747, 133
1. What is the LCM of 993, 415, 747, 133?
Answer: LCM of 993, 415, 747, 133 is 164425905.
2. How to calculate the LCM of 993, 415, 747, 133?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 993, 415, 747, 133.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.